The antonyms for the phrase "giving on" would include words like "holding back," "denying," "restraining," "withdrawing," and "refusing." These words seem to imply a lack of generosity, empathy, or kindness. For instance, holding back suggests the withholding of important resources or information, while denying implies a deliberate rejection of someone's needs or requests. Restraining may indicate an attempt to limit someone's autonomy or freedom, while withdrawing suggests a lack of engagement or interest. Finally, refusing indicates a complete lack of willingness to give, which can be damaging to relationships and personal growth. Therefore, it is important to cultivate a spirit of generosity and openness, rather than focusing on negative antonyms such as these.