My personal experience with generic imatinib is that it didn't give the consistent response I was experiencing with Gleevec.  After four and a half years with stable PCR scores on Gleevec my numbers started to rise.  Admittedly, I was on a low dose of 200mg per my preference and my doctor's consent.
If I remember correctly, my first generic was Sun and was then changed to Teva after a few months.
Here's my CML history:
My diagnosis started after I gave a routine blood donation to the Red Cross. The hematologist with the Red Cross notified me that my WBC was high and recommended I follow up with my general doctor.
09/2012   p210 transcript 118.7% IS @ Dx, t(9;22) translocation in all 20 of the metaphases examined, FISH - 93%, WBC 65.5, began Gleevec 400mg/day
12/2012   003.59% & bone marrow biopsy - no residual myeloproliferative features but detected 1/20 metaphases containing the Philadelphia chromosome, FISH - 5.5% 
2013   000.914%, 000.434%, 000.412% 10/2013 000.360% & bone marrow biopsy - normal male karyotype with no evidence of a clonal cytogenetic abnormality 
2014   000.174%, 000.088%, 000.064% 
2015   000.049%, decrease to Gleevec 200mg/day, 000.035%, 000.061%, 000.028% 
2016   000.041%, 000.039%, 000.025% 
2017   000.029%, 000.039%, switched to generic imatinib 200mg/day, 000.070%, 000.088% 
2018   000.233%! Tried switching to dasatinib 100mg/day - I want zero #4 back! Dasatinib at 100 and then 50 mg/day did not agree with me so I went back to generic imatinib 300mg/day. 000.013% The dasatinib did seem to be effective. It was probably just too high of a dose for me. Went back to a lowered dose of dasatinib, hopefully that will keep the side effects away and still be effective. 000.007% Dasatinib at 25 mg/day seems to working! 20mg/day Sprycel or 200mg/day imatinib 000.006% 11/19-21 three day fast