Crossword Genius

A missing pet's hard to catch, having fouled dishes (8)

Ross

I believe the answer is:

ashtrays

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'fouled dishes' is the definition.
The definition and answer can be both man-made objects as well as being plural nouns.
Perhaps they are linked in a way I don't understand?

'a missing pet's hard to catch' is the wordplay.
'missing pet's hard' becomes 'sht' (I can't explain this - if you can you should give a lot more credence to this answer).
'to catch' becomes 'rays' (I've seen this before).
'a'+'sht'+'rays'='ASHTRAYS'

'having' is the link.

Can you help me to learn more?

(Other definitions for ashtrays that I've seen before include "Receptacles for tobacco detritus" , "butts in these?" , "Receptacles for smokers" , "where fags end up" , "Receptacles removed from pub" .)

I've seen this clue in The Times.
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