Why is dancing or enjoying music called grooving?

I guess it refers to vinyl records. The old LPs have grooves in which the needle runs. So therefore, when you say "I am grooving" it means that you are "in tune with the music" or, well, "in the (record)groove"

Hope that helps..

Groove is the sense of propulsive rhythmic "feel" or sense of "swing" created by the interaction of the music played by a band's rhythm section (drums, electric bass or double bass, guitar, and keyboards). The term is mainly used in the context of genres outside of Western art music, such as funk, rock music, power groove, fusion, and soul.

While some musicians have called the concept of "groove" a subjective and elusive notion, they acknowledge that the concept is well-understood by experienced musicians at a practical, intuitive level. Funk and Latin musicians refer to "groove" as the sense of being "in the pocket", and jazz players refer to groove as the sense that a jam session is really "cooking" or "swinging."

Musicologists and other scholars began to analyse the concept of "groove" in the 1990s. They have argued that a "groove" is an "understanding of rhythmic patterning" or "feel" and "an intuitive sense" of "a cycle in motion" that emerges from "carefully aligned concurrent rhythmic patterns" that sets in motion dancing or foot-tapping on the part of listeners.

Link:

http://dyppl.com/search/search.php?q=enjoy+music

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cuz lets say groove means to have fun and music and dancing is having fun most of the time atleast also because when hippies danced they always said that they 'grooved to the beat', the music that they grooved to was described as groovy.