The phrase "new constituency" refers to a group of people or individuals who have recently become part of a particular influence or voting group. It suggests the emergence or creation of a new set of people with shared interests or values.
For the 1983 general election, new constituency boundaries were drawn, taking account of new local government boundaries. (en.wikipedia.org)
There are going to be 600 new constituency Labour parties as there will be for other parties, and they will go through a selection process. (politicshome.com)
Small businesses tend to care more about preserving relationships, creating new customers, in effect, developing new constituencies. (fortune.com)