With compression fracture what else should I be concerned about?

Worsening. The biggest concern with compression fractures is continued or worsening collapse of the vertebrae. Follow up with your neurosurgeon or orthospine surgeon on a regular basis.
Bone density. If the fall was low energy get your bone density checked and treat osteoporosis if presentf you fell hard why did you fall ?

Related Questions

Sharp, stabbing mid-back pain occasionally when bending or lifting. Radiologist found old compression fracture at T11 on xray. Should I be concerned?

Find cause of Fx. If you recall the injury cause of the fracture-no worry -just minor arthritis. BUT a compression fx at age 20 warns of possible metabolic disease. IF no injury get a DEXA and see your PCP for further diagnosis. Read more...