From that point things started getting complicated. From that point things started to. In grammar in use book, the bold part has been considered as correct answer.
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From that point things started to get complicated. However book titles are allowed artistic license. So, i like getting/ to get to the station in plenty of time.
In your exact context, the real underlying implication is probably more don't go too fast for your dating partner rather than.for.
He did not succeed in getting the job though he tried his level best. To get is the normal form and would be best for everyday use. Regarding the to getting forms, i.