Yes, I did indeed check the other side as well (cough, cough), and tightened what I could (not overtight, just enough torque to make it not feel loose). One of the clamps on the passenger's side engine looks very difficult to get to (the screw head is toward the block, and there's only a small space to tighten, but I'll figure it out.
Thanks for the help all. Any other suggestions would be appreciated.