In a small bowl, mix together mayonnaise, horseradish, mustard and Worcestershire sauce. Stir in the crab meat. Cover and refrigerate for 30 minutes.
Arrange the cucumber slices in single layer on a serving tray. Spoon 1 tablespoon of the crabmeat mixture onto each cucumber slice. If you have a tablespoon scoop, that makes this part super easy. If not, just scoop it on with a spoon.