Beg daughter to enter enclosure (5)
I believe the answer is:
cadge
'beg' is the definition.
(cadging is a kind of begging)
'daughter to enter enclosure' is the wordplay.
'daughter' becomes 'd'.
'to enter' is an insertion indicator.
'enclosure' becomes 'cage' (cage is a kind of enclosure).
'd' inserted within 'cage' is 'CADGE'.
(Other definitions for cadge that I've seen before include "Try to get (something) without paying" , "Scrounge (money, etc)" , "Get money by sponging" , "beg" , "Go about begging, scrounge" .)