Drip has no right to entertain (6)
I believe the answer is:
tickle
'entertain' is the definition.
(thesaurus)
'drip has no right' is the wordplay.
'drip' becomes 'trickle' ('trickle' can be a synonym of 'drip').
'has no' suggests deleting specific letters.
'right' becomes 'r' (common abbreviation).
'trickle' with 'r' removed is 'TICKLE'.
'to' is the link.
(Other definitions for tickle that I've seen before include "Make to laugh with finger movement" , "Touch that causes laughter" , "Touch lightly to cause laughter" , "Excite by touch" , "Amuse; make tingle" .)