Not sure about DOHC, but If there is one wire going to switch, it is usually grounded with no oil pressure and live feed to other connection on warning light.
If you disconnect lead at switch light should go out, if it stays on the lead is touching ground/frame/engine somewhere.
The risk damage by of running engine with no oil pressure is not worth risking, so extreme caution recommended.
Sometimes, systems need to be primed after oil/filter change.
I always fill cannister type filters with oil before fitting to reduce time until pressure develops.
You should get oil pressure up by cranking with kill switch on and plugs out if necessary, to allow it to spin quicker, but if light still on after running sounds like you need to rule out a faulty switch.
Either swap with a known good one or see if you can borrow an oil pressure gauge to connect at switch position.
There may be DOHC specific advice, but above is general to most systems.