Phone one lightly carries about with hostility (13)

I believe the answer is:

belligerently

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'with hostility' is the definition.
(synonyms)

'phone one lightly carries about' is the wordplay.
'phone one' becomes 'belli' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'lightly' becomes 'gently' (synonyms).
'carries' indicates putting letters inside (inserted letters carried inside).
'about' becomes 're' ('re' means regarding or about).
'gently' going around 're' is 'gerently'.
'belli'+'gerently'='BELLIGERENTLY'

Can you help me to learn more?

(Another definition for belligerently that I've seen is " With aggression".)

I've seen this clue in The Times.

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