Toilets unfortunately blocked with animal body part (10)
I believe the answer is:
epiglottis
'body part' is the definition.
(epiglottis is a kind of body part)
'toilets unfortunately blocked with animal' is the wordplay.
I cannot quite see how this works, but
'animal' could be 'pig' (I've seen this in other clues) and 'pig' is located in the answer.
an anagram of 'toilets' is 'elottis' which is present in the remaining letters.
This accounts for all the letters.
This may be the basis of the clue (or it may be nonsense).
(Other definitions for epiglottis that I've seen before include "stop for a breather" , "Thin flap in the throat" .)