Canon's  support site says "While there is no negative impact on print quality when using consumables without electronic components, certain ancillary functions, such as the ability to detect toner levels, may be affected." 

Here is a complete list of the Canon printer models effected by the shortage:

imageRUNNER 2625i/2630i/2645i
imageRUNNER ADVANCE 4525i/4535i/4545i/4551i, II and III
imageRUNNER ADVANCE DX 4725i/4735i/4745i/4751i
imageRUNNER ADVANCE DX 6000i
imageRUNNER ADVANCE C255i/C355i/C355iF/C256i/356i
imageRUNNER ADVANCE C256i/356i II and III
imageRUNNER ADVANCE DX C257i/C357i
imageRUNNER C3125i
imageRUNNER C3226i
imageRUNNER ADVANCE C3520i/3525i/3530i, II and III
imageRUNNER ADVANCE DX C3720i/3725i/3730i
imageRUNNER ADVANCE DX C3822i/3826i/3830i/3835i
imageRUNNER ADVANCE C5535i/5540i/5550i/5560i, II and III
imageRUNNER ADVANCE DX C5735i/5740i/5750i/5760i imageRUNNER C1325iF/1335iF
imageRUNNER C3025i
imageRUNNER ADVANCE C250i/350i/C351iF
imageRUNNER ADVANCE C3320i/3325i/3330i imageRUNNER 1435i/1435iF

Canon gives you step by step instructions on how to bypass the chip requirement on their support site