LESS THAN STANDARD SEPARATION BETWEEN 2 VFR ACFT IN ARSA. OPERATIONAL ERROR.

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I WAS VFR W OF LIT; CHKING ACFT AFTER ANNUAL. ON RETURNING TO THE LIT TRSA I CALLED APCH; WAS GIVEN A CODE; TOLD 'RADAR CONTACT;' REQUESTED ILS RWY 22 APCH LIT ENDING IN A TOUCH AND GO; THEN VFR TO 1M1. I WAS CLRED AS REQUESTED; GIVEN 'CLB TO MAINTAIN 2500 FT; FLY HDG 090 DEGS; VECTORS ILS 22 APCH.' I REACHED 2500'; LEVELED OFF HDG 090 DEGS; WHEN I HEARD SMA Y TALKING TO APCH. HAD HEARD ACFT Y BEFORE AND KNEW HE WAS ON A NWESTERLY COURSE. APCH TOLD ACFT Y HE HAD TFC 11 O'CLOCK; LESS THAN 1 MI. APCH THEN TOLD ME I HAD 'TFC 1 O'CLOCK; LESS THAN A MI; NWBND 2500 FT.' AT FIRST I DIDN'T SEE ACFT Y AND THEN I SAW HIM DIRECTLY AHEAD AT MY ALT AT WHAT SEEMED TO BE MORE THAN 1000' SEP. ACFT Y WAS FLYING A HDG OF APPROX 310 DEGS; AND OUR CLOSURE RATE WAS BRISK. I TURNED RIGHT TO PASS BEHIND Y; AND RPTED TFC IN SIGHT. APCH ACKNOWLEDGED AND TOLD ME TO CALL APCH ON 118.1. I REPLIED; '118.1 FOR ACFT X; YES MAAM; AND; UH; THAT WAS A LITTLE CLOSE.' NO REPLY; SO I SWITCHED TO 118.1 AND CONTINUED. AS I LIFTED OFF FROM THE TOUCH AND GO; TWR ASKED ME IF I HAD A PROB. I SAID NO; THAT THAT'S WHAT I HAD PLANNED TO DO AND HAD REQUESTED OF APCH. TWR SAID HE'D CHK WITH APCH; AND ASKED WHAT I WANTED TO DO. I TOLD HIM I WANTED TO GO TO 1M1; AND WAS SO CLRED. I BELIEVE THE APCH CTLR IN QUESTION IS A TRNEE. IN ANY CASE; CLOSER SUPERVISION IS REQUIRED; ESPECIALLY CONSIDERING THE HUGE INCREASE IN CTLR WORKLOAD FOLLOWING IMPLEMENTATION OF THE FAA'S PROGRAM FOR NEXT YR.