They are probably sticking, that usually means that the oil wasn't changed regularly or was run on short trips a lot.
lifters mate
It takes awhile for the oil to go to the bearings and to pump up the lifters
low oil pressure or the seal on the roller tappet is old and it takes the roller tappet a minute to pressurize again.
perhaps the rockers aren't adjusted properly.
Lifters usually tap when they get too much water in them, the ball check loses lubrication, you may have a slight leak from your coolant, My lower intake gasket was leaking and i had the same problem.
sounds like your oil is wrong viscocity and causes the hydraulic lifters to tap until oil thins enuff to work the lifters. if changing oil doesnt help you have a worn lifter
Fuel injectors don't tap. You are hearing the hydraulic valve lifters which are full of oil when functioning properly. Without sufficient oil they will make a tapping sound. If the car has sat for along time they will sometimes tap for a few seconds when you first crank it up. If yours valve lifters are tapping intermediately I would suggest checking your oil level and if that is OK you may have an oil pump going bad. If that should be the case do not drive the car as the motor will not get sufficient oil and will burn the bearings and kill the motor.
were the valve tappets adjusted correctly they need to be rotated during adjustments ,also make sure you have correct viscosity oil in engine. it has hydraulic lifters and if oil is cheap, it will aerate and cause rattling
Valve train parts are worn. The camshaft and lifters are probably worn.
While the engine is turned off the oil will drain from the top of the engine. The Lumina has hydraulic lifters and uses oil to move them. The lifters will "tap" until the oil builds up enough to hold them up. Make sure that the engine has enough oil, that the oil pressure is ok, and that the oil does not need changing. If these are ok then an additive may be added to aid in quieting noisy lifters.
Well the 2300 is an overhead-can set up. Which means it doesent have push rods or lifters. The cam is what actually pushes the valves open and closed. The cam is set right under the valve cover.
It is most likely a normal condition. The engine needs to build up oil pressure to lubricate the rollers. No damage should result. it is not the roller lifters it is the piston pin it has a slight amount of play and when the piston heats up the aluminum will expand and quite up