It's possible for some people to develop a compulsive behavior towards solving puzzles, where they spend excessive amounts of time and effort on solving puzzles to the point where it interferes with their daily life. This kind of behavior is classified as "compulsive puzzle-solving" and it could be part of obsessive-compulsive disorder (OCD) or a compulsive disorder. It is not considered a healthy addiction as it can lead to neglect of other important aspects of life.
There is no specific personality type that likes puzzles, as people from different backgrounds and with diverse personalities can enjoy solving puzzles. However, people who enjoy puzzles tend to be patient, persistent, and have a desire to solve problems. They are also known to be detail-oriented, analytical, and good at recognizing patterns.
Doing puzzles daily can have a positive effect on cognitive function, but it's not necessary to do it every day. It's important to keep in mind that moderation is key, so incorporating it in your routine a few times a week should be beneficial. If you do puzzles regularly, it can lead to a variety of benefits, not just cognitive but also emotional and physical. It can reduce stress, anxiety and depression, and improve your mood. However, excessive puzzle-solving can lead to neglect of other important aspects of life such as socializing, work, and self-care, so it's important to keep balance.
Liking puzzles can say that the person has a desire to solve problems, is patient and persistent, and is good at recognizing patterns. Additionally, it can also indicate that the person is detail-oriented, analytical, and may enjoy the feeling of accomplishment after solving a puzzle. However, it's important to note that this is not an exhaustive list of traits and it's not definitive as everyone has their own unique personalities.