Bit of a hand needed to cover singular song (5)
I believe the answer is:
psalm
'song' is the definition.
(I've seen this before)
'bit of a hand needed to cover singular' is the wordplay.
'bit of a hand' becomes 'palm' ('palm' is part of 'hand').
'needed to cover' indicates putting letters inside.
'singular' becomes 's' (abbreviation sometimes used in dictionaries).
'palm' enclosing 's' is 'PSALM'.
(Other definitions for psalm that I've seen before include "Religious chant" , "Sacred poem attributed to David" , "Devotional hymn or song" , "Old Testament hymn" , "Old Testament lyrical poem or prayer" .)