One sticks with Tramp cross­word, initially about to submit (8)

'one sticks' is the definition.

'tramp crossword initially about to submit' is the wordplay.
'tramp' becomes 'me' (where the crossword setter is 'Tramp').
'initially' says to take the initial letters.
'about' says the letters should be written in reverse.
'to submit' becomes 'enter' (as in to submit something to a competition).
The first letter of 'crossword' is 'c'.
'me'+'c'='mec'
'mec' in reverse letter order is 'cem'.
'cem'+'enter'='CEMENTER'

'with' is the link.