WASHINGTON INSIGHT

PARALLELISM: Could Dick and Lynne Cheney be the Bill and Hillary Rodham Clinton of the GOP? Might the power pairs meet on the campaign trail in ‘96? . . . A couple of parallels come to mind. No. 1: Just as the Clintons were moving into offices near each other in the White House, the Cheneys were becoming next-door neighbors at the American Enterprise Institute, a conservative think tank just five blocks from the executive mansion. No. 2: When the former defense secretary visits his native Wyoming, he chats up friends at a McDonald’s--just like you-know-who used to do in Little Rock, Ark. . . . Dick and Lynne, the former chairwoman of the National Endowment for the Humanities, plan to divide their time between AEI and their new home in Jackson, Wyo. Dick will tramp the rubber-chicken circuit, surveying prospects for a presidential run, while Lynne writes a book on the politics of art and education. . . . Dick, who used to have legions of Pentagon lieutenants tending to his every need, just finished driving half the family furnishings back to Wyoming in a rented truck. His new son-in-law rode shotgun.