BTV APCH CTLR QUESTIONED LCL CTLR'S SEPARATION PLAN BTWN DEP AND ACFT ON CLOSE-IN DOWNWIND.

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I WAS ASSIGNED TO WORK THE EAST ARR RADAR POS BTV LNDG RWY 15; DEPARTING RWY 15. CONDITIONS NE THROUGH SE OF ARPT SNOW SHOWERS; LOW CEILINGS BTWN ARPT AND GREEN MOUNTS TO E. CONDITIONS SE THROUGH N GOOD VMC WITH SCATTERED CLOUDS AND 10+ MI VISIBILITY. VISUAL APCHS TO RWY 15 ADVERTISED ON ATIS. ACFT Y BE99 WAS INBOUND FROM SE ON VECTORS FOR VISUAL APCH; L DOWNWIND TO RWY 15. I COORD WITH LCL CTLR FOR A 'CLOSE-IN L DOWNWIND' WHICH IS ROUTINE; AND IN SUCH A CASE; XFERS ARR VERSUS DEP SEPARATION TO THE RADAR QUALIFIED LCL CTLR. TYPICALLY; IN THIS SITUATION; TWR EITHER CLRS DEPS FOR TKOF APPLYING VISUAL SEPARATION; OR APPROVED RADAR SEPARATION USING TWR D-BRITE. WHEN ACFT Y WAS 2 1/2 - 3 NM SE OF ARPT; OFFSET 1 1/2 NM FROM RWY 15 DEP COURSE; TWR (LCL CTLR) ADVISED ACR X WAS DEP ROLL. I ASKED 'WHAT WOULD YOU LIKE ME TO DO WITH ACR Y?' HE REPLIED HE HAD 'SEPARATION; ACR X IS ASSIGNED HDG 190 DEGS.' IN REALITY; ACR X WAS NOT YET ESTABLISHED ON 190 DEG HDG. HE WAS INITIAL CLB HDG 146 DEGS AND TURNING TO ASSIGNED HDG 190 DEGS. ACFT Y WAS HDG 320 DEGS OPPOSITE DIRECTION TO DEPARTING ACR X. WHEN ISSUED A HDG OF 340 DEGS; ACFT Y ADVISED HE WOULD HAVE ARPT IN SIGHT IN A 'MI OR TWO.' TWR DID NOT PROVIDE APPROVED (VISUAL) SEPARATION. I RPTED EVENT TO CIC. THE CIC ADVISED THEY WERE 'NOT GOING TO DO ANYTHING ABOUT IT; BUT IF YOU WANT TO; YOU CAN.' NO QUALITY ASSURANCE REVIEW ANNOTATED IN LOG; OR TO MY KNOWLEDGE; HAS BEEN CONDUCTED.