Synonyms for Cut back:

n.

shrivel, erode, halve, minimize, top-slice. cut away, lop off, chop off, gouge out. cut back (noun)
cut down, lop, trim, cut, dress, bring down, clip, curtail, curb, reduce, trim down, snip, crop, flash back, prune, trim back, restrict.
reduce (noun)
decrease, retrench.

v.

economize (verb)
cut, reduce, decrease, prune, clip, curb, trim, cut down, retrench, curtail.
motion (verb)
flash back.

Other synonyms:

erode, shrivel, gouge out, top-slice, chop off, retrench, cut away. decrease, minimize, lop off. halve. cut short
clip.
Other relevant words:
decrease, retrench.