LONDON (Reuters) – Asking prices for British homes being put up for sale rose by the smallest amount since January this month, as the rising cost of living and the prospect of higher interest rates squeezed home-buyers, property website Rightmove said on Monday. Rightmove said asking prices for homes put on sale between May 15 and June 11 were 0.3% higher than a month earlier, down from a 2.1% rise in its May data. Compared with a year earlier, asking prices are up 9.7%, less than the 10.2% increase recorded for May. “The exceptional pace of the market is easing a little, as demand gradually n…