WOL-AM (1450) owner Cathy Liggins Hughes and her Almic Broadcasting Inc. will buy soft rock-oriented WMMJ-FM (102.3) from Outlet Communications for $7.5 million under terms of an agreement reached yesterday. The 1,120-watt "Magic 102," tucked behind a set of sliding glass patio doors in the corner of the WTOP-AM (1500) newsroom, is a fully automated station that relays a satellite signal, Transtar's "Format-41," from Los Angeles.

Rhode Island-based Outlet, which has owned all-news WTOP-AM since 1978, bought the low-powered FM station in 1983 for $2.1 million and must sell it to acquire WASH-FM (97.1). On July 13, Outlet announced it was buying WASH, a 50,000-watt easy-listening station, from Metropolitan Broadcasting for $29.25 million.

Outlet plans to take "Format-41," programming geared to listeners in their thirties and forties, to WASH, but Joe Chairs, Outlet's vice president for radio, said he doesn't think the service will be used full time on the station.

"WASH seems to be going in the right direction right now," Chairs said. "If it ain't broke, don't fix it."

Chairs said his company is under contract to run the commercials packaged in the "Format-41" service and will consider broadcasting the satellite feed overnight. Using the service also would keep it out of competitors' hands.

"They are taking the format," Hughes said yesterday. "All we are getting is the stick {the signal}."

Hughes said she used her soul-format WOL, worth an estimated $2.8 million, and her personal property to get the $7.5 million financing. She said it is too early to say what WMMJ's format will be.

Meanwhile, Chairs said Outlet expects to relocate WTOP and WASH in a McLean Gardens office building along Wisconsin Avenue NW. The move should be completed next year.

Cuthbert Arrives, Fiske Stays

After several weeks of guest-hosting the "Fred Fiske Show," Mike Cuthbert officially slipped into Fiske's chair last night. Fiske, 66, a 40-year veteran of Washington radio, announced his retirement from WAMU-FM (88.5) in May. He'll stay on to host an hour-long, news-of-the-week talk show starting Sept. 12.

Cuthbert, 47, doesn't expect his three-hour weeknight talk show to change drastically from the Fiske format.

"I don't think it'll be essentially different," says Cuthbert, whose last job in town was at the old NBC-owned WRC-AM. However, Cuthbert, trained in classical music and a fan of folk and bluegrass, hopes occasionally to feature live music and interviews with performers. His guests tonight are Ernesto Palazio, official representative of the contras in Washington, and lawyer Martin Garbus.

Yukking It Up, Part II

That Jim Miller. He's the fellow who got into hot water with his wife after he called WAVA-FM's (105.1) "Morning Zoo" to complain that she wouldn't go to the latest James Bond movie with him. After Miller gave her work number (over the air), the Zoo team called Michelle Miller to try to talk her into seeing the movie. But a number of listeners called, too, which got her steamed at WAVA and her husband. Last Tuesday, Miller called the Zoo again after deejays launched into a morning-long tirade about a newspaper story reporting the incident. Miller's on-air battle with the jocks lasted nearly 20 minutes and it seemed as if the station had lost a listener. But not so. Miller was back Thursday morning for the show's regular comedy bit, "What's My Nag?," to tell listeners that his wife would no longer let him listen to the "Morning Zoo" in her presence (he was calling from work), and that she still has not taken him to the Bond flick. Miller admits that he's a fan of the show, which he likens to "pro wrestling," and says that he now wants to "get into radio." His wife has told him the entire affair has given him a big head.

It's a start.

Wobegon Fans

Fans of Garrison Keillor won't let him go. Not entirely, that is. American Public Radio says that Rivertown Trading Corp., distributor of "A Prairie Home Companion" products, has sold more than 12,000 video copies of the show's June 13 final live broadcast. Rivertown also reports selling another 6,000-plus audio recordings of Keillor's last stand in the World Theater in St. Paul, Minn.

Around the Dial

WLTT-FM (94.7) has hired Al Santos to host the CBS-owned station's four-hour Sunday "Jazz Brunch" and weeknight light rock show, and, after 9 p.m., a light jazz/new age music program. Santos replaces Steve Allan, who moved to new-age format WBMW-FM (106.7) two weeks ago . . . WWRC-AM (980) will carry President Reagan's speech tomorrow at 8 p.m. . . . Janet Dowling-Hill has slipped into the morning drive seat at Columbia Union College's religious format WGTS-FM (91.9). She's spent the past several years at Denver's NPR affiliate, KCFR-FM, and replaces 10-year veteran Jeffrey Nelson, who left for Boston University to pursue a PhD in religion and literature.