Reluctant to provide a rhyme (6)
I believe the answer is:
averse
'reluctant' is the definition.
(averse can mean reluctant or opposing)
'a rhyme' is the wordplay.
'rhyme' becomes 'verse' (synonyms).
'a'+'verse'='AVERSE'
'to provide' is the link.
(Other definitions for averse that I've seen before include "'Opposed, disinclined (6)'" , "Loath, reluctant" , "Having a strong opposition (to)" , "Unwilling or disinclined, perhaps to hard work" , "Disinclined - as ever (anag)" .)