Crossword Genius

Placed a cover outside (4)

Ross

I believe the answer is:

laid

'placed' is the definition.
(laying is a kind of placing)

'a cover outside' is the wordplay.
'cover' becomes 'lid' (lid is a kind of cover**).
'outside' indicates putting letters inside.
'a' put within 'lid' is 'LAID'.

(Other definitions for laid that I've seen before include "Doze" , "(Of dining table) set" , "Put down like dial" , "tables may be?" , "Wagered" .)

I've seen this clue in The Globe and Mail and The Telegraph.
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