Sign off, maybe, and grab taxi with sweetheart (8)

I believe the answer is:

takecare

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'sign off maybe' is the definition.
I don't know anything about this answer so I cannot judge whether this works.

'grab taxi with sweetheart' is the wordplay.
'grab' becomes 'take' (I've seen this before).
'taxi with' becomes 'car' (I can't justify this - if you can you should believe this answer much more).
'sweetheart' becomes 'e' (the heart/centre of 'sweet').
'take'+'car'+'e'='TAKECARE'

'and' acts as a link.

Can you help me to learn more?

I've seen this clue in The Irish Times.

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