FLT CREW REPORTED LCL AT RFD ISSUED TKOF CLRNC TO ACFT THAT CROSSED THEIR LNDG RWY.

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AFTER LNDG WITH PROPER LNDG CLRNC FROM RFD TWR; THE TWR CTLR ASKED IF WE WOULD EXIT THE RWY AT TXWY 'G' OR 'A.' THE FO REPLIED 'ROGER.' AS THE ACFT WAS SLOWING TO ABOUT 80 KNOTS I SAW THAT AN ACFT WAS IN MOTION FOR TKOF ON THE INTERSECTING RWY. THE CTLR CLRED THE OTHER ACFT FOR TKOF ON THE INTERSECTING RWY BEFORE WE EXITED THE RWY. IF WE DID NOT STOP OUR ACFT IN TIME; IT IS POSSIBLE THAT A COLLISION COULD HAVE OCCURRED. I BELIEVE THAT THE CTLR THOUGHT THAT ASKING US TO EXIT A TXWY HALFWAY DOWN THE RWY WAS AS GOOD AS A 'LAHSO' CLRNC. AFTER ASKING THE CTLR WHY HE CLRED THE OTHER ACFT FOR TKOF; HIS REPLY WAS THAT WE SAID WE WOULD EXIT THE RWY. THE FO NEVER SAID 'WILCO' OR ANYTHING CLOSE. ACCORDING TO THE AIM; 'ROGER' ONLY MEANS THAT THE MSG WAS HEARD AND UNDERSTOOD. THE TERM 'ROGER' DOES NOT MEAN THE RECEIVER WILL COMPLY WITH THE INSTRUCTIONS. THERE WERE NO LAHSO OPS IN EFFECT AT THE TIME. I BELIEVE NON STANDARD PROCS AND PHRASEOLOGY WERE THE CONTRIBUTING FACTORS IN THIS INCIDENT. I ALSO BELIEVE THAT THE IMPROPER USE OF THE WORD 'ROGER' WAS A FACTOR.