I've never had a shower at any of the jobs I've commuted to (shortest commute 8.5 miles, longest commute 14.5 miles).
I pack a wash cloth and hand towel and clean up at the sink. Then apply deodorant, talc or corn starch, etc and I'm good to go.
Oh yea, and put some clothes on before leaving the mens room.
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The Lord is merciful and gracious, slow to anger and abounding in steadfast love. - Psalm 103:8
I am a cyclist. I am not the fastest or the fittest. But I will get to where I'm going with a smile on my face.