What does a normal person lose by following the path? I have a person I know who, as far as I can say, has been intermittently long interested in Buddhism, but never made a big leap in her practice to achieve and cultivate bigger achievements. She is sufficiently versed in basic buddhist teachings but, as this person told me more than once, is afraid of reaching a "point of no-return" - that is, to not be able to enjoy and do all the things she was used to once she crosses a certain stage of the path.

I tried to dispense some advices by offering details about my own experience and telling that, in reality, now I'm even more able to appreciate the same things I had before. This and a few other attempts never convinced that person (I never tried to persuade her, since I prefer that any person makes the choice that they most prefer) and my being aware that, to a certain extent, the progress in the path can be highly subjective, can only make things more difficult.

Not being able to offer a more satisfactory answer to Will I be able to enjoy life as much as I did before?, what convincing reply would you offer based on your personal experience and, if relevant, buddhist scriptures?

Please finally note that I do not demand that this, like many other persons, should follow the path to the fullest and most hardcore level. She may acquire a taste of what it is like practicing meditation, mindfulness and insight practices for a while and then settle at a level that she finds comfortable.
What you gradually lose by practicing the path is:


Taṇhā
Nīvarana see: Nīvaraṇa by Piya Tan
Akusala,mūla
Anusaya see: Anusaya by Piya Tan
Saṁyojana
Kilesa
Asava


None of which are pleasant to have or worthwhile to have or keep around. What you gain is unshakable peace and happiness (free from Dukkha or Nirvana). In addition you end Jarāmaraṇa and the cycle of Dependent Origination.

As per what you said in your text you are able to enjoy more which perhaps is due to reduction of the above undesirables. Once the are completely gone only happiness remain. This happiness is stable and not dependent on anything else and does not end. Therefore, you will be able to enjoy life like never before through not they type of enjoyment you have experienced before (ämisa sukha). This is a more higher type of enjoyment (niramisa sukha).