One having no pounds to burn (5)
I believe the answer is:
singe
'burn' is the definition.
(singing is a kind of burning)
'one having no pounds' is the wordplay.
'one' becomes 'single' ('single' can be a synonym of 'one').
'having no' is a deletion indicator.
'pounds' becomes 'l' (L can represent the monetary pound).
'single' with 'l' taken out is 'SINGE'.
'to' is the link.
(Other definitions for singe that I've seen before include "superficial injury" , "Sear" , "Char, scorch" , "Result of match accident" , "Burn the ends or edges of" .)