From Longman Dictionary of Contemporary Englishfurfur1 /fɜː $ fɜːr/ ●●○ noun 1 [uncountable]HBA the thick soft hair that covers the bodies of some animals, such as cats, dogs, and rabbits → furry(1)2 
[countable, uncountable]HBA the skin of a dead animal with the fur still attached a fur coat a fur-lined jacket a ban on fur farming (=keeping and killing animals for their fur)3 [countable]DCC a coat or piece of clothing made of fur Lady Yolanda was swathed in elegant furs.4 [uncountable] a material that looks and feels like furimitation/fake/artificial etc fur a pair of gloves trimmed with fake fur5 DHH[uncountable] a harmful or unpleasant substance that sometimes forms on surfaces that are always wet, such as water pipes SYN scale6 → the fur flies
[countable, uncountable]HBA the skin of a dead animal with the fur still attached a fur coat a fur-lined jacket a ban on fur farming (=keeping and killing animals for their fur)3 [countable]DCC a coat or piece of clothing made of fur Lady Yolanda was swathed in elegant furs.4 [uncountable] a material that looks and feels like furimitation/fake/artificial etc fur a pair of gloves trimmed with fake fur5 DHH[uncountable] a harmful or unpleasant substance that sometimes forms on surfaces that are always wet, such as water pipes SYN scale6 → the fur fliesExamples from the Corpus
fur• Furs from the far north of Canada were exchanged for cotton and other goods.• The darkening path felt warm and soft as fur.• There was cat fur all over the chair.• In the hall, Mrs. Welland was putting on her fur.• I mean the whole, blue-green ball of fur, fin, feathers.• Finally I seized his scruff, took a fistful of fur.• Why, how, and when does the fur change? 10.• the fur industry• He raked his fingers through fur the color of weak tea, brown, red, golden tint of gaslight.imitation/fake/artificial etc fur• My first successes were in fake fur - we had one each.• But for the ultimate indulgence this winter, splash out on one of the new fake furs.• Plus the best and most affordable selection of fake fur cushions in town - zebra, leopard, tiger among others.• A vest of fake fur like the one she had made for Jill when she was small?• She was a vision in a pink fake fur Todd Oldham jacket.• This year their major bow to realness has been replacing fake fur with genuine dead pelts.• Until my first New York winter rain, when the fake fur matted around my neck, wrists and knees.• Overdress of glass beads, ostrich feathers and yarn. Artificial fur train.furfur2 (also fur up British English) verb (furred, furring) [intransitive] DHHto become covered with an unwanted substance —furred adjective Symptoms include dry lips and a furred tongue.→ See Verb tableExamples from the Corpus
fur• The pipes and valves furred with woodchips as though by a half inch of sooty snow.Origin fur (1300-1400) fur “to cover the inside of with fur” ((14-19 centuries)), from Old French forrer, from forre “inside covering” 