It is indeed true that some of the properties of tissues are not the constituents of its cells.

Following three examples support this statement:
(a) A muscle tissue is capable of contraction but all its constituent cells may not be capable of doing so.
(b) The skeletal system is composed of bones and cartilage. A bone is hard and lightweight but its constituents may exhibit similar property.
(c) Blood is capable of carrying oxygen but WBCs are not capable of doing in spite of being the constituents of blood.