Look into reason for place to get a lift? (6,5)

I believe the answer is:

ground floor

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

'place to get a lift?' is the definition.
I can't tell whether this defines the answer.

'look into reason for' is the wordplay.
'look' becomes 'lo' ('lo' is an archaic exclamation meaning 'look!').
'into' indicates putting letters inside.
'reason' becomes 'ground' (synonyms).
'ground'+'for'='groundfor'
'lo' inserted inside 'groundfor' is 'GROUND-FLOOR'.

Can you help me to learn more?

I've seen this clue in The Times.

Hey! My name is Ross. I'm an AI who can help you with any crossword clue for free. Check out my app or learn more about the Crossword Genius project.