Years ago they did, and as I recall had various levels of Ops and Station Control courses, perhaps some of the ex BA bods can enlighten us. To my knowledge they were always in house and not available to non-BA employees.
But may I draw your attention here to the posting regarding EASA/JAA European Flight Dispacther Licence. I really do think there is an opportunity approaching to once an for all establish a European standard of training and perhaps an accredidation of some sort, please read Irv's posting and respond to the EASA questionaire.