Crossword Genius

Any bedpan having been upset is an objectionable thing (1,3,5)

Ross

I believe the answer is:

a bad penny

'an objectionable thing' is the definition.
(term for a bad person or thing)

'any bedpan having been upset' is the wordplay.
'having been upset' indicates anagramming the letters.
'any'+'bedpan'='anybedpan'
'anybedpan' with letters rearranged gives 'A BAD PENNY'.

'is' acts as a link.

(Another definition for a bad penny that I've seen is " '. . . . . . . . . always turns up".)

I've seen this clue in The Independent.
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