COMMUNISTS THE SPHINX ANYONE? THE MOST RELUCTANT RUBBERNECK IN EGYPT LAST WEEK WAS COMMUNIST CHINA'S PREMIER CHOU EN-LAI . GRANTED ONLY THREE SESSIONS WITH PRESIDENT NASSER DURING HIS WEEK'S SOJOURN IN CAIRO, CHOU WAS PROPELLED RELENTLESSLY THROUGH THE LIST OF VIP TOURIST ATTRACTIONS: AN AUTOMOBILE PLANT, A MUSEUM, EGYPT'S MILITARY ACADEMY, THE ASWAN DAM . WHEN HIS HOSTS INSISTED ON A CLOSE-UP INSPECTION OF THE SPHINX, CHOU ASKED PLAINTIVELY: "DO I HAVE TO GO? I'VE ALREADY SEEN IT FROM A DISTANCE ." THOUGH THE VISIT TO EGYPT WAS ONLY THE FIRST LEG OF HIS SCHEDULED TWO-MONTH SWING THROUGH AFRICA, THE ROUND OF SIGHTSEEING CLEARLY TIRED THE AILING, 67-YEAR-OLD CHOU . FOR THE FIRST TIME, WESTERNERS NOTICED THAT HE HAS ONLY PARTIAL USE OF HIS RIGHT ARM, WHICH WAS USUALLY CLUTCHED TIGHTLY OVER HIS STOMACH . AT ONE POINT, AFTER CLIMBING A FLIGHT OF STAIRS AT AN ASWAN POWER STATION, THE ASHEN-FACED PREMIER STAGGERED OFF INTO A CORNER AS IF HE WERE ABOUT TO FAINT . ONE OF TWO DOCTORS IN HIS ENTOURAGE HURRIED OVER AND APPEARED TO GIVE HIM A WHIFF OF SMELLING SALTS . AS CHOU RAISED HIS HEAD, BLOOD TRICKLED FROM HIS NOSE . "IT HAPPENS WHENEVER HE GETS TIRED," SHRUGGED ONE OF HIS AIDES . "IT IS NOT SERIOUS, BUT THAT IS WHY HE ALWAYS HAS A DOCTOR WITH HIM ." CHOU NONETHELESS HAD PLENTY OF ENERGY FOR SPEECHMAKING, HARPED REPEATEDLY ON THE PEKING VERSION OF MOSCOW'S WE-WILL-BURY-YOU REFRAIN . INDEED, TO HEAR CHOU, THE AFRO-ASIANS WILL BURY NOT ONLY THE WEST, BUT RUSSIA AS WELL . "THE ASIAN AND AFRICAN PEOPLES," HE PROCLAIMED, "THROUGH THEIR LABOR AND INTELLECT CREATED ILLUSTRIOUS CIVILIZATIONS WHICH WERE DEMOLISHED BY IMPERIALIST AGGRESSION AND TYRANNY . NOW THAT WE HAVE BROKEN THE IMPERIALISTIC SHACKLES, WE WILL BE ABLE TO WORK NEW MIRACLES ." FOR ALL HIS EAGERNESS TO WIN AFRICAN SUPPORT FOR PEKING'S SIDE IN THE SINO-SOVIET CONFLICT, HOWEVER, CHOU COULD OFFER LITTLE CASH TO THE UNDERDEVELOPED COUNTRIES . IN SOME AREAS THAT THE CHINESE HAVE CULTIVATED, THEY MAY EVEN END BY MAKING MORE ENEMIES THAN FRIENDS . BY LENDING SOMALIA $20 MILLION TO BUY ARMS FOR ITS CAMPAIGN TO GRAB ADJACENT TERRITORY, PEKING HAS ANGERED NEIGHBORING KENYA, WHERE IT HAS ALSO SPENT HEAVILY TO WOO THE NEW NATION . IT MAY SUCCEED AT LEAST IN RAISING RUSSIA'S ANTE IN AFRICA AND ASIA . AT WEEK'S END, AS CHOU LEFT FOR ALGERIA, NIKITA KHRUSHCHEV WAS REPORTEDLY PLANNING HIS OWN SWING THROUGH AFRICA . BEFORE VISITING CAIRO NEXT SPRING, HE MAY ALSO JUNKET TO INDIA AND NEPAL ON CHOU'S BACK DOORSTEP . THEN IT WILL BE NIKITA'S TURN TO TELL WHO WILL BURY WHOM .