I have a series of 8 mains voltage outside bulkhead type lights. (fixed
under the soffits).

One stopped working so i duly had the cover off and replaced the
lamp. The light did not come on. Tested the lamp in another source and
it works OK, so not that.

I changed the lamp holder and tried again, still not working.

I have tested with my multimeter and get approx 240v at the lampholder,
so not a broken neutral.

All the other 7 lights are working OK.

Any suggestions/solutions to try?