Palms off small songs (6)
I believe the answer is:
psalms
'songs' is the definition.
(I have seen 'Biblical songs ' mean 'psalms' so perhaps 'songs' could also mean 'psalms')
'palms off small' is the wordplay.
'off' indicates an anagram.
'small' becomes 's' (abbreviation - e.g. clothes size).
'palms' is an anagram of 'psalm'.
'psalm'+'s'='PSALMS'
(Other definitions for psalms that I've seen before include "Biblical songs" , "Sacred songs or hymns" , "They're heard in church" , "Sacred songs of praise" , "Devotional songs" .)