Thin [*] double-sided tape should hold the material, but it may be difficult to remove the workpiece without bending it 
I would favour the traditional Shellac, and a sub-plate.
Edit: or, as Dave suggests, a suitable 'superglue'
MichaelG.
.
[*]
SupaDec does a version; intended, I think, for vinyl floor-coverings.
3M is probably the best manufacturer of such stuff.
Edited By Michael Gilligan on 28/01/2019 12:38:29
Edited By Michael Gilligan on 28/01/2019 12:53:51