A dryer has a drying chamber to receive damp items and a process air duct to feed process air into and extract process air out of the drying chamber. The process air duct has a heat source and a heat sink to heat the process air before the process air enters the drying chamber and to cool the process air after the process air leaves the drying chamber, respectively. A cleaning device has an accumulator for a liquid; a rinsing line connected to the accumulator; a control organ in the rinsing line; a distributor connected to the rinsing line to distribute the liquid conveyed through the rinsing line on a lint filter and to receive the lint caught by the lint filter; and a drain line to drain the liquid with the received lint away from the lint filter and towards the accumulator.