(D) Rapid cell division in tendril cells that are away from the support
The passage clearly states that the part of the tendril away from the object grows more rapidly than the part in contact with the support. This unequal growth causes the tendril to curl and cling. Do not confuse this with phototropism (light) or geotropism (gravity) — it is a thigmotropism-related growth response.
Source: Chapter 6, Section 6.2.2 — Movement Due to Growth