Sort of murder, getting a BSc perhaps! (5-6)

I believe the answer is:

first-degree

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

'sort of murder' is the definition.
(I've seen this before)

'getting a bsc perhaps' is the wordplay.
I cannot quite see how this works, but
'getting' could be 're' (I've seen this in other clues) and 're' is located in the answer.
'perhaps' could be 'eg' (for example) and 'eg' is present in the answer.
This may be the basis of clue (or it may be nonsense).

Can you help me to learn more?

I've seen this clue in The Times.

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