Possible Clues:

• Corrupt careerist engaged in administrative department
• 95-Across who made the covers of Time, Newsweek and Sports Illustrated in the same week
• 1973 Triple Crown winner
• Office staff restricted air temperature
• People in administration uncommunicative, with air getting tense
• Admin area in Tate's racier after refurbishment
• Body once dictated to?
• First-class assessor rising in party's admin office
• [1973]
• Careerist worked a short time in admin department