Crossword Genius

Take up unfinished puzzle - one way to get a lift (4)

Ross

I believe the answer is:

uber

I'm a little stuck... Click here to teach me more about this clue!

'one way to get a lift' is the definition.
I know nothing about this answer so I can't tell whether it can be defined by this definition.

'take up unfinished puzzle' is the wordplay.
'take up' is a reversal indicator (I've seen 'taken up' mean this).
'unfinished' means to remove the last letter.
'puzzle' becomes 'rebus' (type of visual puzzle).
'rebus' with its last letter taken off is 'rebu'.
'rebu' written backwards gives 'UBER'.

Can you help me to learn more?

(Other definitions for uber that I've seen before include "App-based alternative to taxis" , "Taxi company" .)

I've seen this clue in The Independent.
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