Deviously revise target; change sides (12)

I believe the answer is:

tergiversate

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'change sides' is the definition.
'tergiversate' can be an answer for 'change' (thesaurus). I'm not certain of the 'sides' bit.

'deviously revise target' is the wordplay.
'deviously' indicates an anagram (I've seen this in other clues).
'revise'+'target'='revisetarget'
'revisetarget' is an anagram of 'TERGIVERSATE'.

Can you help me to learn more?

(Other definitions for tergiversate that I've seen before include "Shilly-shally" , "Equivocate" , "avoid the issue" , "desert" .)

I've seen this clue in The Telegraph.

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