Yankee captain Derek Jeter has a new clubhouse — a $15,500-a-month, two-bedroom, three-bath rental at Trump World Tower, reports The Post’s Jennifer Gould Keil. Yes, that’s the same building where Jeter already owns a $20 million apartment that is now on the market. We hear that a neighbor’s noisy construction (shades of Tyra Banks!
) was hampering the star shortstop’s crucial rest. So Jeter signed a lease for a 2,087-square-foot corner pad away from the racket to ensure some serious shut-eye during baseball season. Listing broker Dana Power, of Town, had no comment.