Traveller round sun bed with me in it? (5)

I believe the answer is:

comet

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

'traveller round sun' is the definition.
(I've seen this before)

'bed with me in it?' is the wordplay.
'bed with' becomes 'cot' (cot is a kind of bed. I am not sure about the 'with' bit.).
'in it?' indicates putting letters inside.
'cot' enclosing 'me' is 'COMET'.

Can you help me to learn more?

(Other definitions for comet that I've seen before include "Shooting star" , "High-flyer" , "Tailed space traveller" , "Halley's space traveller?" , "Traveller round sun" .)

I've seen this clue in The Sun.

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