Guests oddly dying to take off (3,5)

I believe the answer is:

get going

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'take off' is the definition.
The answer and definition can be both related to change as well as being verbs in their base form.
Maybe they are linked in a way I don't understand?

'guests oddly dying' is the wordplay.
'oddly' indicates alternate letters.
'dying' becomes 'going' ('go' can be a synonym of 'die').
The alternating letters of 'guests' are 'get'.
'get'+'going'='GET GOING'

'to' acts as a link.

Can you help me to learn more?

(Another definition for get going that I've seen is " On your bike!".)

I've seen this clue in The Independent.

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