Clout face of worrisome figure (6)
I believe the answer is:
weight
'clout' is the definition.
(thesaurus)
'face of worrisome figure' is the wordplay.
'face of' suggests taking the first letters.
'figure' becomes 'eight' (eight is a number).
The first letter of 'worrisome' is 'w'.
'w'+'eight'='WEIGHT'
(Other definitions for weight that I've seen before include "Burden" , "Gravitational pull" , "Import" , "Importance, heaviness" , "Vertical force exerted by a mass" .)