TF-IDF is a way to turn text into numbers by showing how important words are in documents. It is not a model itself but a tool to prepare data for models like classifiers. So, the metrics that matter come from the model using TF-IDF features.
For example, if you use TF-IDF with a spam detector, you want to check precision and recall of the spam classifier. Precision tells you how many emails marked as spam really are spam. Recall tells you how many spam emails you caught.
TF-IDF helps the model by giving good features, but the final evaluation depends on the model's predictions and the task.