Since space is expanding and is linked to time, isn't time expanding as well? (Strange Universe Series, 2011)

Space and time are intrinsically linked. Cosmologists speak of it as spacetime. The expansion of the Universe is occurring because the open space between various galactic clusters is expanding. So isn’t that making more time as well as more space? What are the implications of expanding time when its expansion rate keeps accelerating?
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Here are the previous Strange Universe Series—2011 questions:

4—In an expanding universe, how do separate galaxies manage to collide?
3—If the universe is infinite, how big is what it is expanding into?
2—How can we be certain the Uncertainty Principle is certain?
1—How do you envision space in more than 3 dimensions, then rotate it to see what happens?

The entire 2010 Series of 20 questions can be found from here.