Put up with son poking face — a pest (5,5)
I believe the answer is:
house mouse
'a pest' is the definition.
(pest in the home)
'put up with son poking' is the wordplay.
'put up' becomes 'house' (put up can mean to house or accommodate).
'with' is a charade indicator (letters next to each other).
'son poking' becomes 'mouse' (I can't explain this - if you can you should give a lot more credence to this answer).
'house'+'mouse'='HOUSE MOUSE'
'face' acts as a link.
Can you help me to learn more?
(Other definitions for house mouse that I've seen before include "Domestic pest" , "Rodent" .)