Help, I have to admit defeat. Even though these should be obvious, I can't see them.
Go overdrawn, that's virtuous! (4)
-O-G
Lengthy name in register (4)
L-N-
Syzygy,
Many thanks. It must have been the long night shift - that's my excuse!
It seems so obvious now but I really did not see the log / register connection.
Owe you one.