There ae/were mirrors for motorcycles that mounts on the end of handlebars that have an expanding wedge plug system for anchorage.
the more common ones are all metal; so they might be too heavy to put on a bicycle handle bar, but I remember some of them were also made with composite plastics and skaller mirrors to keep the weight down.
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72 Line Seeker
83 Davidson Signature
84 Peugeot PSV
84 Peugeot PY10FC
84 Gitane Tour de France.
85 Vitus Plus Carbone 7
86 ALAN Record Carbonio
86 Medici Aerodynamic (Project)
88 Pinarello Montello
89 Bottecchia Professional Chorus SL
95 Trek 5500 OCLV (Project)