
Grollub |
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No, nothing says or implies it can take actions while attached. It says you treat it as your familiar while it is attached.
You could do the same thing though, with rope.
Additionally, as a tiny creature, it's light load would be 1/2 that of a medium creature, or 114 lbs in this case. Could be tight. Consider being a small race.
Tumor Familiar says: The tumor has all the abilities of the animal it resembles (for example, a batlike tumor can fly) and familiar abilities based on the alchemist’s caster level (though some familiar abilities may be useless to an alchemist). The tumor acts as the alchemist’s familiar whether attached or separated (providing a skill bonus, the Alertness feat, and so on). When attached to the alchemist, the tumor has fast healing 5.
I read this as, when its attached its still the creature it is. it may have limited actions, as its attached, but still has actions.