Taked from The Last Word forum:
Since the number of squares they move is dependent on Larfleeze's movement, they don't have a speed value to be halved. However, if their movement forces them into hindering terrain, it would stop.

If an orange construct is already on hindering terrain, it has to stop everytime it goes in an green-lined square, or just when its coming from clear terrain?
Also, this restriction "if their movement forces them into hindering terrain, it would stop" also applies to water terrain (blue-lined squares)?

If starting in hindering, they won't stop when going into another hindering.

Water is hindering for movement, so yes.

thanks a lot

..Unless the character moves from Hindering into Clear Terrain, then into Hindering Terrain, then movement would stop.

"A character that crosses from terrain that is not hindering for movement into a square that is hindering for movement must stop moving."
2011 rules, pg 12.

Also, keep in mind that orange objects do not need to stop when becoming adjacent to opponents.

They are "objects" not figures.