Sometimes a delicate and formal hold of the fingers, slightly raised, is more appropriate than a handshake.

I grew up and was taught this method when shaking a lady's hands, and to have a firm, dry, handshake with men (as a judge of character).

I know it sounds silly, but it's built in to me now and I'll walk away from meetings thinking about the handshakes of the people in the room as much as the content of the discussion.