It happens frequently. Depending on what you are printing, sometimes the edges can warp and curl up. (Depends on a lot of factors, like whether it's an overhang with PLA and there's not enough fan hitting it to cool it off, or if the gap is set correctly between the nozzle and the bed for the first layer, or whether the extrusion multiplier has been calibrated correctly, or whether the filament diameter is uniform. Each of those things can cause over-extrusion or warping.)
Support is particularly tough, because it doesn't have a lot of surface area contacting the bed and it gets knocked loose very easily. Make sure you are using enough adhesive. (And I hope you're using S3D, cause that's the only one I've got suggestions for...

)
I like to use a cross-hatched support instead of the default single parallel bands. It's more stable. Set that by using
Support Infill Angles of 45° and -45° on the
Support tab of S3dD.
Also, if you set a
Brim around the part, the support structures will be printed on top of it, giving them a much more stable base.
In S3D, on the
Additions tab, check
Use Skirt/Brim.
Skirt Layers: 1 or 2 (2 is more stable)
Skirt Offset: 0.4 mm
Skirt Outlines: 15-20 or however many you need to completely capture the support structures.
PLA warps if it isn't cooled off quickly, and any overhanging parts on the back that don't face the fan directly tend to warp a
lot. Add a desk fan behind the machine to cut down on that if you're working with PLA. (If not, ignore that bit.)
In Simplify3D, you can force the printer to jump on retraction, (which can help with clearing little bits that stick up), but ideally, you'd probably rather not have the filament warp up on you in the first place - it tends to screw up alignments down the road. (And i'm not sure it helps with support structures.) But, if you wanted to try it.....
In the
Extruder tab, set the
Retraction Vertical Lift to from 0.3mm to 0.6 mm. And on the
Advanced tab, uncheck
Only Retract When Crossing Open Spaces. Optional, (because it's really going to add to the print time), is to also check
Avoid Crossing Outline for Travel Movements under
Movement Behavior.
I put that suggestion last, because although you can make it jump, it's kind of an extreme solution to a problem that can usually be avoided by cooling off the print (if you are printing PLA) and locking down your support structures. (And I find all the hopping around annoying...it makes it noisier, and makes
me jittery.)
And I see that someone beat me to it again......damn I've got to stop being so wordy.