Container of two halves, name seen in mine with lid flipped (4,3)

'container of two halves' is the definition.
I don't know anything about this answer so I cannot judge whether it can be defined by this definition.

'name seen in mine with lid flipped' is the wordplay.
'name' becomes 'n' (common abbreviation e.g. on forms).
'seen in' indicates putting letters inside.
'mine with' becomes 'pit' (as in a mining pit. I am not sure about the 'with' bit.).
'lid' becomes 'top' (eg a bottle top).
'flipped' says the letters should be written in reverse.
'top' written backwards gives 'pot'.
'n' placed within 'pit' is 'pint'.
'pint'+'pot'='PINT-POT'

Can you help me to learn more?