A CPR BE20 FLC CLBED ABOVE THEIR ASSIGNED ALT WHILE PASSING UNDER A MIL C130. AN ARTCC RADAR CTLR DISCUSSED THIS INCIDENT WITH THE CPR FLC.

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WE DEPARTED KEYE; RADAR VECTORS TO V53 TO HOUSE INTXN 47 MI S. FLYING DOWN V53; CLBING TO FL190; WE REVIEWED OUR ROUTING OF V53 TO HOUSE INTXN DIRECT NABB VOR AND WATCHED A C130 PASS OVERHEAD FROM L TO R AT FL200. WE WERE LEVELING AT FL190 AS WE APCHED HOUSE. PASSING HOUSE I REMINDED THE PF THAT WE WERE TO PROCEED TO NABB. IN THE L TURN TOWARD NABB WE STARTED TO CLB. AT +200 FT I REMINDED THE PF TO CHK HIS ALT. HE INITIATED A SLOW RECOVERY AND THE ACFT CONTINUED TO +300 FT BEFORE RETURNING TO FL190. AFTER WE WERE LEVEL BACK AT FL190 CTR INQUIRED ABOUT ANY PREVIOUS ALT CHANGES AND SUGGESTED WE PHONE ZID AFTER WE LAND. DURING THE TELEPHONE CONVERSATION I DISCUSSED THE ALT VARIATION AND WAS INFORMED WE WERE INVOLVED IN AN ACFT DEV RPT FOR BEING LESS THAN 1000 FT BELOW AN ACFT WITHIN A 5 MI RADIUS. (THE C130 HAD PASSED OVERHEAD IN THE OPPOSITE DIRECTION PRIOR TO HOUSE INTXN.) THE PF; AN EMPLOYEE OF THE COMPANY AND A PROSPECTIVE COPLT; HAD NOT FLOWN THIS ACFT FOR AWHILE. I THINK HE GOT A LITTLE BEHIND THE AIRPLANE AND THEN TRYING TO KEEP THE FLT SMOOTH DID NOT RECOVER FROM THE CLB AS FAST AS HE COULD HAVE OR SHOULD HAVE. ALTHOUGH HIS CORRECTION WAS VERY SLOW AND I WORRIED ABOUT HIM ARRESTING HIS CLB; AT THE TIME I DID NOT THINK THE SIT HAD PROGRESSED TO THE POINT THAT I HAD TO INTERCEDE MORE THAN VERBALLY. I MAY HAVE TO RETHINK THAT DECISION.