All mechanical items have a finite life and wear with use. An improperly lubricated chain accelerates wear on itself, and mating chainring/cogs.

How you use your bike (short trips to the market or weekend enthusiast or world competitor) should also dictate how you solve the problem. One of my basic philosophies is "do the easy/cheap things first". So try a lube better suited for the wet than White Lightning. A bottle of Tri-Flow probably sells for $4 and a bottle of Finish Line XC Wet (thanks mtbikerinpa) probably goes for $8. If that solves the problem, and you're happy, then you're done.

If not, you may have to invest in a new chain ($15), cassette ($40), chainrings ($??), frame alignment ($??).... And, you'd already have the lube for the new chain.