Initially, Everyman’s trusting Claudia Hammond to make impression (4)
I believe the answer is:
etch
'impression' is the definition.
(I've seen this before)
'initially everyman's trusting claudia hammond' is the wordplay.
'initially' indicates taking the first letters.
The first letters of 'everymans trusting claudia hammond' is 'ETCH'.
'to make' acts as a link.
(Other definitions for etch that I've seen before include "Make carvings" , "Score deeply" , "Design on metal or glass using acid" , "Wear away by chemical reaction" , "Make picture by engraving metal" .)