Dog stripping paper from my present (5)
I believe the answer is:
corgi
'dog stripping paper' is the definition.
'corgi' can be an answer for 'dog' (I've seen this before). I'm unsure of the 'stripping paper' bit.
'my present' is the wordplay.
'my' becomes 'cor' (both are expressions of surprise).
'present' becomes 'gi' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'cor'+'gi'='CORGI'
'from' is the link.
Can you help me to learn more?
(Other definitions for corgi that I've seen before include "Welsh breen of dog" , "Dog popular with British royals" , "Pre-2018 royal dog" , "The Queen's favourite?" , "Royal canine" .)