I spent a lot of time looking for differently constructed clocks in polymer and couldn’t find much that really illustrated the point I was hoping to make. What I wanted was to show that a clock does not have to be on a flat surface. It can be made of many parts, attached or not, and fully dimensional. As long as you have something that can house or hide the clock mechanism while holding out the hands, the rest is wide open. You can have the hour markers designated by any form and attach them with sticks or wire or be free floating–whatever suits the piece and your inclination.
These two examples are commercial designs rather than polymer art but I think they give you the basics of this idea of moving beyond the flat clock face. Not only do these kinds of clocks make for really interesting wall pieces, they give you the freedom to use pieces you may already have such as large hollow beads, faux stones, unhung pendants, small figurines, flowers, etc.
As a gift, giving a clock that has separate pieces might be best attached to something that can be hung as one piece, like a backing of Plexiglas or painted plywood. Or include instructions for a template to mark on the wall where each piece goes. There is little to no construction to deal with but you will have to make concessions in the design for how the individual pieces will be hung. Alternately, go for a design where the elements are attached like the flowers you see here.
The sky is the limit with these kinds of designs. For more ideas, try searching “DIY clocks,” which was the keyword set that brought me to these two pieces. I hope these sparks some ideas and I look forward to seeing inventive clock designs this month!