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Coming across extremely tedious piece of scripture, raced through (10)

Ross

I believe the answer is:

transverse

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

'coming across' is the definition.
'transverse' can be an answer for 'across' (thesaurus). I'm unsure of the 'coming' bit.

'extremely tedious piece of scripture raced through' is the wordplay.
I cannot quite understand how this works, but
'piece' could be 'verse' (I have seen 'Piece of poetry ' mean 'verse' so perhaps 'piece' could also mean 'verse') and 'verse' is present in the answer.
'raced' could be 'ran' ('run' can be a synonym of 'race') and 'ran' 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?

(Other definitions for transverse that I've seen before include "Crossing" , "Situated across something" , "Extending across (the long axis)" , "Crosswise" , "go in 6 ac [CRISSCROSS]" .)

I've seen this clue in The Times.
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