FLC OF AN LTT CPR JET OVERSHOT CLB ALT DURING DEP CLB RESULTING IN ATC QUESTIONING THEIR PREVIOUS ALT ASSIGNMENT.

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ON CLB OUT AT TTN WITH TSTMS IN AND AROUND THE AREA; I WAS GIVEN A NUMBER OF HEADING CHANGES WITH AIRSPD CHANGES. THEY WERE 180 DEG AND 270 DEG TURNS IN BOTH DIRECTIONS. I WAS CLBING TO 3000 FT AND THEN TO 6000 FT. BEFORE BEING HANDED OFF TO THE NEXT CTLR; I WAS TOLD TO MAINTAIN 8000 FT. WHEN WE CHKED IN WITH THE NEW CTLR TO LEVEL 8000 FT; HE SAID; 'WERE YOU GIVEN 8000 FT BY THE PREVIOUS CTLR?' I TOLD HIM 8000 FT HAD BEEN GIVEN AND HE WASN'T SURE WE HAD BEEN GIVEN 6 OR 8. THE CTLR SAID IT WAS NOT A PROB! I HOPE THIS WAS NOT A PROB FOR ANYONE. HOWEVER; BEING GIVEN MULTIPLE HEADINGS AND AIRSPD CHANGES WITH A NUMBER OF ALT CHANGES WHILE TRYING TO REMAIN SOMEWHAT CLR OF BUILDING CUMULO NIMBUS MAKES ALL OF OUR DAYS A LITTLE HARDER. THE CTLRS I WORKED WITH WERE VERY MUCH THE PROFESSIONALS THEY ARE AND DID A GREAT JOB. I FEEL WITH WX AND A LOT OF TFC TO CONTEND WITH; I WOULD PREFER A DELAY ON THE GND RATHER THAN TKOF INTO THE AIRBORNE TFC DELAYS AND VAST VECTORING TO MAINTAIN SEPARATION BTWN ACFT; AND POSSIBLY LEADING TO CONFUSION BTWN FLCS AND ATC. WE HAVE THE GREATEST SYS IN THE WORLD AND IT WORKS WELL; HOWEVER; WE CAN'T ALL BE HAPPY ALL THE TIME. SOME DELAYS WILL HAPPEN.