If you cut your springs the ride will be bouncy as hell as said before. Your shocks will likely blow and then you will have to buy new coil overs, so save yourself to months of bouncing and just buy coilovers or shocks and springs now.
I don't know a whole helluva lot but I think this would definately work for your application. I don't think you need $1K coilovers for an 89 Civic. So...
http://www.nopionline.com/nopistore/...0HONDA%20Civic