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R, 54 bytes 62
library(Unicode)
cat(u_char_name(utf8ToInt(scan(,""))),sep="\n")
Edit: per @flodels comment, I need to read it from connection first, so had to add scan. This is also probably non-competent solution according to all the rules.
Usage
> cat(u_char_name(utf8ToInt(scan(,""))),sep=...