My Mk 1 box started to whine, but only on decelerating, say using gears to slow down at junctions.
I contacted Richard at molyslip, and put in 2 types of moly slip, and then followed the advice on this site and slightly overfilled the gearbox by jacking up the near side a few inches so I could get another 250ml + in.
Noise was reduced within 20 miles, and 3-4 years later, still runs near silent.
No oil leaks, easy gear change even when cold.
The problem with the Mk 1 box is that the front bearing is sometimes starved of oil, and the molyslip hangs around longer and the slight overfill helps to splash the front bearing more.
I have posted the quantities etc before, just do a search under molyslip.
The sucess is based on how early you catch the problem, as noise = excessive wear.
I remember the old minis with the sloppy gear knob, when you decelerated, the gearbox made excessive whine, you could hear them from 1/4 mile away, but they lasted for ever.
The problem with the mini, ( Allegro, 1100, Maxi, Princess, Ambassador etc) the gear box and engine shared the same oil, which at best would be 20w 50.
Hope this helps,
best regards,
Rustic