Hello there!
56_Split:
The switch in the centre of the heater, is a rheostat, and switches the fan on. Turning it slightly will switch the fan on at full speed, and turning it further by degrees will slow the motor down to a relaxed chug.
That's of course, if it works... If not, then have a look at the fuses - there's only two, so chances are there's something else not working... Or, you might want to look over the electrical connections, for poor earths and bad bullets. If it's the rheaostat, you can buy new switches, but I'm not sure that they will fit properly. Sorry.
Okay, now assuming all that works, you may have hit upon a problem. You have lots of cold air, but no warm, or (saints be praised) hot.
Well, to allow hot water from the engine through to the heater unit you will have to have a poke about in the engine bay; so pop the bonnet, and we'll have a look.
Standing facing the car (you get more done that way...) at the back of the engine, there should be a water pipe heading from the block to the bulkhead. At the back of the engine there will be some sort of a valve. It might be the later "butterfly" valve, in which case you need to move the arm to the "open" position. Assuming it's in the "closed" to start with.
You might have the screw down valve, which would be correct for your car. If you screw it down, no water is sent to the heater. If you screw it up (anticlockwise) then water will flow through the heater.
Try it and see... You might be pleasantly surprised.
If this doesn't work, then the valve is probably unservicable and needs replacing. New valves of both types can be bought from Minor parts places. The later valve should have a control cable to operate from inside the car, but should be no different in price to the earlier brass handwheel valve. Replacement is fairly easy, although you will lose a couple of pints of coolant on the drive... no mater how much you try not to!

Best thing to do is to drain the radiator, and give the whole system a flush.
If the whole thing is kaput (eeek!

), then I think new ones can be bought, although they're not cheap. I think the traditional recirculatory Smiths heater (the round ones) are still available, but most Minor suppliers may try to steer you in the direction of the later-type fresh air heater, or even an uprated one made from bits cannibalised from a Mini.
Mike:
If it worked before you took the car into the garage, go back to them and have them on toast! Often, cack-handed engine removal (which is sometimes required in a clutch change) means the heater tap gets bashed against the bulkhead. This could be the cause of any damage - especially if it was working before... That said, replacing it is only a half-hour job, and the parts won't cost you more than £25 - do fit it the right way around, though... or you could end up doing it again. I didn't do that, of course

. Well, we live and learn!!
Sorry, if this is a bit (a lot!) waffly! Well, why use ten words, when forty will do just as well?
Good luck all!