Arindam Chakrabarti is one of my personal favourite scholars of Indian philosophy. He masters Sanskrit and philosophy, both Western and Indian, at the same time. In a very recent essay he discusses the feasability of philosophical creativity. He recalls a conversation he had with a poet who told him that poetic creativity
is a constant battle against the staleness of words and thoughts. The battle is often lost by most poets por philosophers], but sometimes it is won with those very stale words and thoughts (A.C., New Stuff: On the Very Idea of Creativity in Philosophical Thinking 2011).
Personally, I tend to think that the battle can only be won throught those very stale words and thoughts. This is also the reason why I enjoy reading Sanskrit philosophical commentaries, especially post-classical ones, since their authors were well aware of the fact that a glorious tradition was already behind them.
(I am grateful to Daniel Raveh's 2011 book Exploring the Yogasūtra who made me discover Chakrabarti's text.)
On fields of Indian philosophy which need a creative thinking to come into existence, see this post (on applied Indian philosophy).