Bra part (5)
'bra part' is the definition.
('strap' is part of 'bra')
This is the entire clue.
(Other definitions for strap that I've seen before include "Shoulder band" , "Secure" , "e.g. Belt" , "something to hang on to" , "Whip" .)
(Other definitions for clasp that I've seen before include "Grasp firmly" , "Hold firmly or fasten" , "Grip firmly" , "bosom" , "Clutch" .)
(Other definitions for sand trap that I've seen before include "Bunker" , "Golf course obstacle" , "Golf course hazard" .)