A light sleeper will always be close to it (7,4)

'a light sleeper will always be close to it' is the definition.
I know nothing about this answer so I cannot tell whether it can be defined by this definition.

'light sleeper will always be close to it' is the wordplay.
I cannot quite see how this works, but
'light' could be 'lamp' (lamp is a kind of light) and 'lamp' is found within the answer.
'be' is present in the answer.
'it' could be 'e' ('e' can mean 'electronic' which is similar to 'IT') and 'e' is located in the answer.
This may be the basis of the clue (or it may be nonsense).

Can you help me to learn more?