Crossword Genius

Swore, staggered after head split? (5)

Ross

I believe the answer is:

vowed

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'swore' is the definition.
(I've seen this in another clue)

I can't explain the rest of the clue.

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(Other definitions for vowed that I've seen before include "Made a promise" , "Solemnly pledged" , "Solemnly promised" , "took the pledge" .)

I've seen this clue in the Sydney Morning Herald.
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