Nothing in priest and lieutenant to inspire disgust (6)
I believe the answer is:
revolt
'inspire disgust' is the definition.
(something that's revolting creates disgust)
'nothing in priest and lieutenant' is the wordplay.
'nothing' becomes 'o' (looks like zero - 0).
'in' indicates putting letters inside.
'priest' becomes 'rev'.
'and' says to put letters next to each other.
'lieutenant' becomes 'lt' (abbreviation for lieutenant).
'rev'+'lt'='revlt'
'o' inserted inside 'revlt' is 'REVOLT'.
'to' is the link.
(Other definitions for revolt that I've seen before include "Upset" , "'Uprising, rebellion (6)'" , "Mutiny or disgust" , "Rise in rebellion" , "Organised opposition to authority" .)