Shipshape and bristol fashion means in perfect order, and the context is saying that it is the man's job to keep the place in perfect condition.
Consider the statement "Retired, head of admin., Whose job it is, in his own words, 'to keep the place in perfect condition.". Is the statement "Retired, head of admin., Whose job it is, in his own words, 'to keep the place shipshape and bristol fashion." false? Yes/no/unknown