Nothing by Liberal Party makes sense (9)
I believe the answer is:
olfaction
'sense' is the definition.
(olfaction is a kind of sense)
'nothing by liberal party' is the wordplay.
'nothing' becomes 'O' (O resembles 0).
'by' is a charade indicator (letters next to each other).
'liberal' becomes 'l' (abbreviation).
'party' becomes 'faction' ().
'o'+'l'+'faction'='OLFACTION'
'makes' is the link.
(Other definitions for olfaction that I've seen before include "Showing sense" , "Sense of smell" , "stink" .)