Recorded missing the start of first degree, being disorganised (10)

I believe the answer is:

registered

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'recorded' is the definition.
('register' can be a synonym of 'record')

I cannot understand how the remainder of the clue works.

Can you help me to learn more?

(Other definitions for registered that I've seen before include "indicated" , "Recorded in writing" , "Officially recorded" , "Enrolled" , "Recorded; expressed (an opinion)" .)

I've seen this clue in The Guardian.

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