No idea, but will give you a bump since it's a bit urgent.
Firstly, thanks for the bump Dave.vicdicdoc said:. . . are the tap head loose ? . . does water appear to come out of the taps at regular flow or excessive [with the heads held in] ?
My only [cheap] suggestion is to 'superglue' the heads on . . the expensive solution is new taps & your looking [depending on make / model] of around £30 to £60 each.
Can you give more info on the tap make/model ?