Let wife off to roll around in the mud (5)

I believe the answer is:
allow
'let' is the definition.
(synonyms)
'wife off to roll around in the mud' is the wordplay.
I cannot quite understand how this works, but
'wife' could be 'w' (abbreviation) and 'w' is located in the answer.
'around' could be 'o' (a round letter) and 'o' is found within the answer.
The remaining letters 'all' is a valid word which might be clued in a way I don't understand.
This may be the basis of the clue (or it may be nonsense).
Can you help me to learn more?
(Other definitions for allow that I've seen before include "Acknowledge - concede" , "Sanction" , "Permit or agree" , "praise no more" , "Permit or acknowledge" .)
