Here is my timescale:
5 May sent form D27 with fee
May called DVLA several times, was told my form had not been scanned yet
8 June sent form D1 with fee
June called DVLA several times, no progress
20 June official disqualification period ended
6 July saw fee had been taken from my bank account
7 July DVLA told me my form had been scanned, I would have to wait in a queue for my case to be reviewed
July called DVLA every other day, no progress
23 July DVLA told me that I needed a medical with a nominated DVLA doctor. I called the doctor, earliest available appointment 6 Aug
6 Aug attended DVLA medical
17 Aug DVLA requested a report from my GP
28 Aug GP returned report to DVLA
29 Aug Licence issued, for 3 years only. I will need another DVLA medical in 3 years, no idea why.