I grip with what I hope is a sincere level of firmness - as in, "I'm really pleased to be shaking your hand, thank you" - and I'm flummoxed when it feels as though the other person has simply dangled their appendage for me to interact with.
This was a wonderful turn of phrase. It should be in some sales manual or something.
It's odd.
I also know other people with very limp handshakes. I don't mistrust them, but I do think it's weird.
But what I hate are the ALPHA handshakes. Not just firm, but too much squeezing, and trying to turn so their hand is on top. It's calculating and manipulative and just weird. I never know whether to just let them do it; or to let them do it and then turn it when they're lulled into a false sense of security; or whether my entire handshake with them should be a battle of twisting and turning.
I never, ever initiate hugs at work either. If someone else wants to, I'll go in, but I just don't.