Do this to sailor, bishop and vicar that is carrying astatine (10)

'do' is the definition.
Although both the answer and definition are verbs in their base form, I don't understand how they can define each other.

'to sailor bishop and vicar that is carrying astatine' is the wordplay.
I cannot really understand how this works, but
'sailor' could be 'ab' (abbreviation for able seaman) and 'ab' is located in the answer.
'bishop' could be 'b' (abbreviation for bishop in chess) and 'b' is located in the answer.
'vicar' could be 'rev' (short for reverend) and 'rev' is located in the answer.
'astatine' could be 'at' (At is the chemical symbol for astatine) and 'at' is found within the answer.
'that is' could be 'ie' (short for Latin 'id est', 'that is') and 'ie' is present in the remaining letters.
No letters remain.
This explanation may well be incorrect...

'this' acts as a link.

Can you help me to learn more?