Do you consider this plant invasive in reef tanks ?

I got a small piece of rock with this plant to my
10 gallons nano-reef but looking at how fast does
it grow and how many different patches pop up on
this rock in a very short time of two weeks I am
not sure if this was good decision...

I like the color and the appearance of this bright
green plant but I do not want it to grow to problem
size, smothering everything else alive in the tank.

Should I control its growth somehow ?
Mechanicaly trim it with scissors or pull it out ?

What is your experience ?

10G Tank conditions before the water change yesterday:

Salinity: 34 ppt
Temp: 80-84F (family keeps the room too warm!)
Ca: 340mg/l (pretty low, AP test 17 drops)
NO3: 10mg/l
PO4: 0.14mg/l