As far as I am aware, the last Kelly's Directory for Cambridge was published in 1975 and there is nothing similar.
The main central library in Cambridge, where all such publications were available in the Cambridgeshire Collection, is closed until next year but directories may be viewable at the Milton Road Branch Library where much of the Collection is being housed in the interim period. But you would need to check this as much material has gone into storage. There are, of course, the electoral rolls which can be viewed but again you would need to check where they are at present.
I have the 1975 Kelly's for Cambridge and some earlier ones and if I can be of any assistance in looking something up for you just ask.
Selina