Denial of responsibility for horribly acrid slime (10)
I believe the answer is:
disclaimer
'denial of responsibility' is the definition.
(I've seen this in another clue)
'horribly acrid slime' is the wordplay.
'horribly' indicates an anagram (a horribly wrong version of the letters).
'acrid'+'slime'='acridslime'
'acridslime' with letters rearranged gives 'DISCLAIMER'.
'for' is the link.
(Other definitions for disclaimer that I've seen before include "Repudiation" , "A denial" , "One denies" .)