You mean a new fuse and it now runs? If so, as BMC says that's very unusual.
If not,
Check fuel flow to the carb, disconnect the pump from the carb and run fuel into a jam jar. Check the flow rate (it'll only take a few seconds to fill the jar) and that it's good, fresh, clean petrol.
Check the valve and float in the float chamber. take the top of the chamber off. blow where the petrol would go in (the inlet pipe coming from the pump). as you move the float up the valve will close. When the float hangs free you should be able to blow through. (then clean your mouth out, a cup of tea works wonders

)
while the float chamber lid is off check ther isn't loads of crud in the bottom and maybe, using a piece of pipe over the hole in the bottom, blow it through into the venture so that it's clear.
check there is oil in the dashpot.
check it rises slowly when pushed up and falls with a clunk when you leave go.
check the choke cable operates the choke properly (and use it!)
with all that, it should have a good fuel flow (and as others have said, make sure the fuel's good).
If the fuse cured it, sounds like someone has wired the fuel pump up through a fuse, which isn't normal.
Hope that helps
Andrew
Maggie, 1969, 4 door, Almond Green.
And Project "Traveller"...
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