Could an inexperienced advisor hurt my career? I have been offered a PhD position by an inexperienced professor in a great institution in Europe. Despite the fact that the institution is very strong in my area, since the position was offered by this particular professor, I would have to commit myself to working with him for my thesis. This professor is young, and relatively inexperienced, but I enjoy the things he works on, and we seem to get along well.

My question is, would having an inexperienced advisor hurt my growth as a scientist, or my career in general? Will I have the time during my PhD to also work on the side with other, more renowned professors in the department, or is one usually focused in a single research project?
An inexperienced advisor can hurt your career by being relatively unknown. This means they may not have access to the same network and that their recommendation letters do not carry the same weight. Inexperience in supervision may, for example, lead to unrealistic expectations. Or an inexperienced advisor can be very good for your career, by quickly rising to fame with the awesome publications the two of you will write together and being fresh in everybody's memory when writing recommendation letters. They may spend plenty of time on working with you.

An experienced advisor can hurt your career by being never there. They may already have made their name, have extremely high expectations from PhD students, to the level of cause them to be overly stressed and quit. Or they may be very good for your career, as dedicated as can be to PhD students, prioritising them above most other duties, having realistic expectations from PhD students, and having great influence when writing recommendation letters.

Bottom line: an experienced advisor may be better for you than an inexperienced one, but that certainly does not have to be the case.  And keep in mind: a very good/famous scientist is not always a very good PhD advisor.