President Reagan has compromised a few of his 1984 campaign promises in recent months, notably his pledge not to touch Social Security benefits when he cut the budget. Now he has reached out for a little help in recalling exactly what those promises were.

The Democratic Congressional Campaign Committee, chaired by Rep. Tony Coelho (D-Calif.), recently published a 58-page list of Reagan's 1984 campaign promises. The White House subsequently asked the committee for a copy, and the committee replied that it would cost $10.

A few days later came a Treasury check from the Executive Office of the President for a copy.

Perhaps Reagan wanted to check pages 27-28 for a list of his promises on Social Security. The committee got another order for the book recently -- from Pravda, the newspaper of the Soviet Communist Party.

BEATING THE BUSHES . . . Vice President Bush is hitting the fund-raising circuit for Republicans facing reelection next year.

He's recently made an appearance for Sen. Mark Andrews (R-N.D.) and Sen. Dan Quayle (R-Ind.) and today will be traveling to Providence, R.I., for Sen. John H. Chafee. He's also appeared at fund-raisers for the Michigan and Texas GOP organizations, and is to visit Louisiana next week to help Rep. W. Henson Moore.

One of Bush's political priorities this year is to develop economic themes oriented toward the future, and he's been stopping at high-technology centers around the country as well. He visited a Motorola computer facility in Austin, Tex., and a biotechnology center in Princeton, N.J., and talked to General Motors officials in Detroit about the Saturn Car project.

TAX REFORM BYWORDS . . . "Populism" is the operative word among White House and Treasury Department officials planning the campaign for tax reform, but look for Reagan to put it in other words. The rallying cry is expected to be "incentives" and "fairness." The target: "special interests."

The political goal is the same, however: to build grass-roots support for tax reform, especially among middle-income and blue-collar voters.

Reagan will emphasize lower rates for most people, and also highlight a provision that would allow perhaps as many as 50 million taxpayers with simple returns to file automatically each year. Their employers would send data to the Internal Revenue Service, which would compute their tax and send them a refund or a bill.

PERSONAL PERSONNEL . . . It's out of the limelight, but one of the important jobs in the Reagan White House is that of the president's personal aide. A big part of the job is making sure Reagan sticks to his schedule -- no small task for a chief executive who likes to linger and talk with people.

Recently the post went to James F. Kuhn, 33, who had been working in the White House advance office since 1981 and on the Reagan campaign before that. Kuhn replaces David C. Fischer, who was Reagan's personal aide during the first term and recently became a senior vice president of Huntsman Chemical Corp. in Salt Lake City.