10 across
Sceptic
rogue
exposed
Philistine
(8)
Sceptic rogue exposed Philistine (8)
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The definition is at the beginning of the clue.
How the clue works
Sceptic is the definition. Take "Philistine" and strip off its outer letters (indicated by "exposed") to get HILISTIN, then anagram it ("rogue") to spell NIHILIST.