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