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?
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.