Snake to claim blatherskites? (8)

I believe the answer is:

windbags

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'claim blatherskites?' is the definition.
Although both the answer and definition are plural nouns, I can't see how they can define each other.

'snake to' is the wordplay.
'snake' becomes 'wind' (to wind is to snake around).
'to' becomes 'bags' (I can't justify this - if you can you should believe this answer much more).
'wind'+'bags'='WINDBAGS'

Can you help me to learn more?

(Other definitions for windbags that I've seen before include "They're boring and they talk a lot" , "Blusterers" .)

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

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