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