Heads eat out in case of parents (5)

I believe the answer is:

pates

'heads' is the definition.

'eat out in case of parents' is the wordplay.
'out' indicates an anagram (out can mean wrong or inaccurate).
'in' means one lot of letters goes inside another.
'case of' says to hollow out the word (remove centre letters) (outsides of).
'parents' with its middle removed is 'ps'.
'eat' anagrammed gives 'ate'.
'ate' placed into 'ps' is 'PATES'.

I've seen this clue in The Telegraph.

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