Possible Clues:

• Ordinal produced by philosopher in hot resort
• Fraction sometimes indicated by the Greek letter mu
• One in twelve boxes unsatisfactory, one tiny part
• Like a customer who may get special notice
• A tiny bit sweet, hard to swallow: alternately a lollipop?
• A tiny bit sick, one interrupted part of the year
• Philosopher hit on revised ordinal
• A tiny fraction may be ill one month
• Far from the first time a below par setter has been admitted
• May perhaps evil one intrude a very tiny bit?