This is rare and not the norm from my experience,dear kosta. I travel quite a bit and have gone to many,many different Latin Churches and I can say that over 90 percent or more offer the Chalice during daily Mass and I have never once not seen the Chalice offered at Sunday Mass
I will have to take your word for it. My experience has been a little different. I watch Catholic Mass on EWTN, both daily and Sunday as well as papal and other hierarcichal Masses (for informational purposes) and they never offer the Chalice to the faithful.
For all the hoopla over the Novus Ordo Mass, I have actually seen the Cup offered to the faithful in a daily Mass in the Naval Hospital Jacksonville, Florida, but the wine was white!
The Traditional Latin Mass (TLM) which has been instituted by Pope St. Gregory I (the Great) certainly never offered the Chalice to the faithful (only the clergy) since its inception at the end of the 6th century, until 1967, when the Novus Odro was implemented as the "ordinary" Mass.