Here are the possible solutions for starting a project and what the letters between the starting and ending pairs of letters in each starred answer are doing clue
Answer
Clue
Relevancy
breakingground
Clue
Starting a project ... and what the letters between the starting and ending pairs of letters in each starred answer are doing?
octets
Clue
They're pairs of pairs of pairs
Definition
OCTET, a composition for eight players, also OCTETT, OCTETTE
blankcheck
Clue
Complete freedom ... and a hint to each half of the answer to each starred clue
aheadoftime
Clue
Early, or a hint to where each half of each starred answer can be found
box
Clue
Square that can follow each of the three words in each starred answer
Definition
to put in a container
headfirst
Clue
Impetuously ... or what can go on each part of the answer to each starred clue?
Definition
with the head in front
water
Clue
Word that can precede each word of each starred answer
even
Clue
Like each answer in this puzzle - also each word in each clue - in length
