Clue: Flipping cross, wanting some shut-eye (4)
Answer: NAPS
Explanation: Definition: some shut-eye
A reversal ('flipping') of SPAN ('cross'). Is the intention for NAPS to be read as a verb or a plural noun? In the first case, 'wanting' hardy works as part of the definition, and in the latter case, it seems to me wayward as a link word (and the plural is only hinted at by 'some'). Unless I am missing something, not the happiest of clues,.