Transfer can go either way, my chapter had 3 or 4 transfers when I was active they all worked out fine, but my wife's chapter did not take one transfer into active membership. I also knew a Sig Ep who transferred to UT-Austin from a small private school chapter. He was rejected for membership by the UT Sig Ep's and he ended up resigning from the National Fraternity over the matter.
I just got out my 150 year history of DU and the author states that some DU Chapters in the Northeast, notably Harvard, regularly rejected any attempted transfers as a matter of policy.

When my chapter was a colony (last year) we had a girl transfer from UCONN to the University of Hartford because her best friend went here. Then is happens her best friend also got a bid the same time she joined the colony (she couldn't affilate cause we were not yet a chapter) she ended up loving the colony and being much happier in it then in her old chapter.

One of my sisters transferred from another school to mine and she was very active.

I may also be at OU or UT soon