keen1

adjective

• 1chiefly British having or showing eagerness or enthusiasm:a keen gardener John was keen to help
• (keen on) interested in or attracted by (someone or something):Bob makes it obvious he’s keen on her

• 2sharp or penetrating, in particular:
• (of a sense) highly developed:I have keen eyesight
• (of mental faculties) quick to understand:her keen intellect
• (of the edge or point of a blade) sharp: the keen blade went through the weeds
• (of the air or wind) extremely cold; biting: a keen wind cut through their thick overalls
• literary (of a smell, light, or sound) penetrating; clear: ear-splitting explosive bursts, keen and sharp

• 3British (of activity or feeling) intense:there could be keen competition to provide the service
• 3(of prices) very low; competitive: we offer extremely keen rates

• 4 [predic.] North American informal, dated excellent: I would soon fly to distant stars—how keen!