Game trollops taking top off for daughter (5)
I believe the answer is:
darts
'game' is the definition.
(darts is a kind of game)
'trollops taking top off for daughter' is the wordplay.
'trollops' becomes 'tarts' ('tart' can be a synonym of 'trollop').
'taking top off' means to remove the first letter.
'for' says to put letters next to each other (I've seen this in other clues).
'daughter' becomes 'd' (genealogical abbreviation).
'tarts' with its initial letter taken away is 'arts'.
'arts' put after 'd' is 'DARTS'.
(Other definitions for darts that I've seen before include "Tears" , "Shoots" , "quick movements" , "They are thrown at targets in pubs" , "Traditional pub game" .)