To make the game more fun and interactive, allow guests to call out "Warmer!" or "Colder!" as the bride's hands get nearer to or farther away from a clip.
The game can also be tweaked a bit to add excitement. Use the smallest clips you can find; the smaller the clips, the harder the bride will have to work to find them. You can make the bride perform a penalty for each clip she fails to find, or make the groom perform a penalty for each clip the bride successfully finds.
To reverse the roles and really spice things up, substitute candy for the clips and tie the candy to the bride's dress with some ribbon (that way it doesn't stain or leave a sticky mess on the dress). The groom must then use only his mouth to find the candy.
Roman Hands and Russian Fingers can also be expanded to include couples from the reception and turned into a race between partners. The winning team could be awarded a small gift or table centerpiece.