Network backing urgent desire for charm (7)

I believe the answer is:

bewitch

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'charm' is the definition.
(synonyms)

'network backing urgent desire' is the wordplay.
'network' becomes 'web' (synonyms).
'backing' says the letters should be written in reverse.
'urgent desire' becomes 'itch' (itch is a kind of desire. I am not sure about the 'urgent' bit.).
'web' backwards is 'bew'.
'bew'+'itch'='BEWITCH'

'for' acts as a link.

Can you help me to learn more?

(Other definitions for bewitch that I've seen before include "Enchant - or curse" , "intrigue" , "Spellbind" , "add glamour" , "Entrance" .)

I've seen this clue in The Times.

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