When bond prices are quoted on a Bloomberg Terminal or Reuters they are quoted using the clean price. The clean price is mostly quoted in the US bond markets. Given the quotes, traders tend to think of bonds in terms of their clean prices.
Clean prices are more stable over time than dirty prices – when clean prices change, it is for an economic reason, for instance a change in interest rates or in the bond issuer's credit quality. Dirty prices, on the other hand, change day to day depending on where the current date is in relation to the coupon dates, in addition to any economic reasons.