The biggest safety issue with clipless is whether you remember how to disengage your feet when you stop.

Once you have this beginner's problem licked, you are probably fine. (For the record, I still use old-fashioned toeclips. I do think it is much safer, as well as more efficient, to be strapped, clipped (or "cliplessed") than not. The only reason I have avoided converting to clipless is that I am feel too klutzy to have some bikes with toeclips and others with differently-releasing clipless systems, and I do sometimes ride the mountain bike or my commuter in street shoes.
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"Far and away the best prize that life offers is the chance to work hard at work worth doing." --Theodore Roosevelt
Capo: 1959 Modell Campagnolo, S/N 40324; 1960 Sieger (2), S/N 42624, 42597
Carlton: 1962 Franco Suisse, S/N K7911
Peugeot: 1970 UO-8, S/N 0010468
Bianchi: 1982 Campione d'Italia, S/N 1.M9914
Schwinn: 1988 Project KOM-10, S/N F804069