I keep seeing 5 weeks quoted as the DVLA's turn around time for non online applications. I'm sure that it will vary depending on what its for, registration, C1 etc. I have just up plated from 3.5T (Van Weight Engineering) and it took the DVLA exactly 25 working days to process. Working days being a misnomer as I believe DVLA have been on strike for some of that time. Hope the refund cheque is close behind.