I worried about this also but since my US sourced income is pretty regular in practice it's been quite easy.
I'm a USC resident in the UK and I get social security from the US. The UK taxes this as per the treaty. There is no witholding tax on this so every year I owe the UK tax for the whole year of Social security income.
I didn't pay any UK estimated tax on this income for the first year - I just did the UK return and paid the tax bill at the end. So, I declared 12 months of US social security (april 2009-march 2010) Then, in the following years, the amount of estimated tax I pay is based on my previous year's income as I reported it on the UK tax form. ie, for 2010-11, the estimate is calculated on what declared for 2009-10. Also, once you pay a year of estimated tax, your local tax office will send you a 'tax bill' showing your estimated tax calculated in this way. (If your income will change for your current tax year, up or down, you write them back and they will send you a new bill, showing the correct amount you will owe.) As long as your US income doesn't vary widely, it has its own little rhythm and isn't really a problem.
When I first started thinking of these issues this is the one I found the most perplexing. I asked HMRC (international specialist) about it. The person I spoke to was equally vague and what I carried away was 'just prorate it'.