Leave out cover in employee's case (5)

I believe the answer is:

elide

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'leave out' is the definition.
(I know that elide is a kind of leave out)

I don't understand the rest of the clue.

(Other definitions for elide that I've seen before include "Omit vowel or syllable" , "Leave out, vowels perhaps" , "Rebut forgotten" , "Leave or strike out" , "Omit part of word" .)

I've seen this clue in The Independent and The Sun.

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