You don't necessarily need to grit your teeth. There is one type of investing where the actual share price is irrelevant other than at the time you buy - investing for retirement income.
Pick a solid often boring share which pays a 6%+ dividend and increases it by 5% p.a. most years. Check the dividend history.
Take the dividend as scrip if offered or re-invest it in the same company.
Leave for 20 years and then start taking the income.
At this point, your income will be approximately 40% p.a. on your original investment or approximately 20% in 'real' terms.
Would you sell an investment paying that kind of return?
I wouldn't.
And at this point the share price is irrelevant.
The only times it is relevant is the original purchase price and re-investment prices (you actually want the price to drop - you get more).
So the current low price of AVIVA with a yield of 7.5% is an excellent entry point.
Obviously, this is only suitable for money you will never need and don't forget to diversify.