Sweat resulting from piper’s bungled note (8)
I believe the answer is:
perspire
'sweat' is the definition.
(synonyms)
'piper's bungled note' is the wordplay.
'bungled' indicates anagramming the letters.
'note' becomes 're' (as in do-re-mi).
'pipers' is an anagram of 'perspi'.
'perspi'+'re'='PERSPIRE'
'resulting from' is the link.
(Other definitions for perspire that I've seen before include "Exude" , "Show effect of heat" , "Sweat (as a lady does?)" , "Sweat politely" , "for every shoot" .)