Permit husband to cut in dense shrubs (6)
I believe the answer is:
ticket
'permit' is the definition.
(I've seen this before)
'husband to cut in dense shrubs' is the wordplay.
'husband' becomes 'h' (abbreviation).
'to cut in' suggests deleting specific letters.
'dense shrubs' becomes 'thicket' (I've seen this before).
'thicket' with 'h' removed is 'TICKET'.
(Other definitions for ticket that I've seen before include "collector wants to view?" , "set of policies in US elections" , "Tag showing fare or fee" , "Token for entry" , "Tag showing payment of fee" .)