The savvy to make a denial to you and me? (4)
I believe the answer is:
nous
'the savvy' is the definition.
(I've seen this before)
'a denial to you and me?' is the wordplay.
'a denial' becomes 'no' (no is a kind of denial).
'to you and me?' becomes 'us'.
'no'+'us'='NOUS'
'to make' is the link.
(Other definitions for nous that I've seen before include "Common-sense" , "Informal common sense" , "we recognised in Nancy" , "Common sense, rhymes with house" , "FT in Paris, say" .)