Part of the body pervert has up goose (10)
I believe the answer is:
oesophagus
'part of the body' is the definition.
'oesophagus' can be an answer for 'part' (oesophagus is a kind of part). I'm not sure about the 'of the body' bit.
'pervert has up goose' is the wordplay.
'pervert' indicates anagramming the letters (I've seen this in other clues).
'has'+'up'+'goose'='hasupgoose'
'hasupgoose' is an anagram of 'OESOPHAGUS'.
Can you help me to learn more?
(Other definitions for oesophagus that I've seen before include "Throat to stomach link" , "Gullet" .)